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Mathematics

D-Index
46
Citations
9904
World Ranking
1345
National Ranking
76

Overview

Dirk Kreimer is affiliated with Humboldt-Universität zu Berlin in Germany. Their research spans several interconnected scientific disciplines, focusing mainly on mathematics, physics and astronomy, and computer science.

Their work frequently involves advanced topics in algebra, geometry and topology, and mathematical physics. Kreimer's research encompasses subfields including geometry and topology, computational theory and mathematics, mathematical physics, algebra and number theory, and nuclear and high energy physics.

Main research topics covered by Kreimer include:

  • Topological and geometric data analysis
  • Geometric and algebraic topology
  • Homotopy and cohomology in algebraic topology
  • Advanced topics in algebra
  • Black holes and theoretical physics
  • Noncommutative and quantum gravity theories
  • Graph theory and applications

Recent significant publications by Dirk Kreimer are:

  • Bananas: multi-edge graphs and their Feynman integrals, 2023, Letters in Mathematical Physics
  • Algebraic interplay between renormalization and monodromy, 2023, Advances in Theoretical and Mathematical Physics
  • Algebraic Interplay between Renormalization and Monodromy, 2021, arXiv (Cornell University)
  • Bananas: multi-edge graphs and their Feynman integrals, 2022, arXiv (Cornell University)

They frequently publish in venues such as:

  • arXiv (Cornell University)
  • Letters in Mathematical Physics
  • Communications in Number Theory and Physics
  • Advances in Theoretical and Mathematical Physics

Kreimer often collaborates with other researchers. Notable frequent co-authors include Marko Berghoff and Karen Yeats.

Best Publications

  • Hopf Algebras, Renormalization and Noncommutative Geometry

    Alain Connes;Dirk Kreimer

  • Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem

    Alain Connes;Dirk Kreimer

  • On the Hopf algebra structure of perturbative quantum field theories

    Dirk Kreimer

  • Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group

    Alain Connes;Dirk Kreimer

  • Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops

    David J. Broadhurst;D. Kreimer

  • On Motives Associated to Graph Polynomials

    Spencer Bloch;Hélène Esnault;Dirk Kreimer;Dirk Kreimer

  • Renormalization in quantum field theory and the Riemann-Hilbert problem II: the $eta$-function, diffeomorphisms and the renormalization group

    Alain Connes;Dirk Kreimer

  • Renormalization in quantum field theory and the Riemann-Hilbert problem

    Alain Connes;Dirk Kreimer

  • Knots and numbers in Phi**4 theory to 7 loops and beyond

    David J. Broadhurst;D. Kreimer

  • Anatomy of a gauge theory

    Dirk Kreimer

  • Chen’s iterated integral represents the operator product expansion

    Dirk Kreimer

  • A practicableγ5-scheme in dimensional regularization

    J. G. Körner;D. Kreimer;K. Schilcher

  • Exact solutions of Dyson–Schwinger equations for iterated one-loop integrals and propagator-coupling duality

    D.J. Broadhurst;D. Kreimer

  • ON OVERLAPPING DIVERGENCES

    Dirk Kreimer

  • Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

    Christoph Bergbauer;Dirk Kreimer

  • Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots

    David J. Broadhurst;J.A. Gracey;D. Kreimer

  • The γ5-problem and anomalies — A Clifford algebra approach

    Dirk Kreimer

  • Spitzer's identity and the algebraic Birkhoff decomposition in pQFT

    Kurusch Ebrahimi-Fard;Kurusch Ebrahimi-Fard;Li Guo;Dirk Kreimer;Dirk Kreimer

  • Knots and Feynman Diagrams

    Dirk Kreimer

  • Mixed Hodge structures and renormalization in physics

    Spencer Bloch;Dirk Kreimer

  • An Étude in non-linear Dyson–Schwinger Equations ⁎

    Dirk Kreimer;Karen Yeats

Frequent Co-Authors

Alain Connes
Alain Connes Collège de France
Spencer Bloch
Spencer Bloch University of Chicago
Li Guo
Li Guo Rutgers, The State University of New Jersey

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